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The measured spatiotemporal response of various physical processes is utilized to infer the governing partial differential equations (PDEs). We propose SimultaNeous Basis Function Approximation and Parameter Estimation (SNAPE), a technique…

机器学习 · 计算机科学 2021-09-17 Sutanu Bhowmick , Satish Nagarajaiah

Reconstructing intricate, ever-changing environments remains a central ambition in computer vision, yet existing solutions often crumble before the complexity of real-world dynamics. We present DynaSplat, an approach that extends Gaussian…

计算机视觉与模式识别 · 计算机科学 2025-06-12 Junli Deng , Ping Shi , Qipei Li , Jinyang Guo

3D Gaussian Splatting (GS) is one of the most promising novel 3D representations that has received great interest in computer graphics and computer vision. While various systems have introduced editing capabilities for 3D GS, such as those…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Tianhao Xie , Noam Aigerman , Eugene Belilovsky , Tiberiu Popa

Stylizing a dynamic scene based on an exemplar image is critical for various real-world applications, including gaming, filmmaking, and augmented and virtual reality. However, achieving consistent stylization across both spatial and…

计算机视觉与模式识别 · 计算机科学 2025-01-08 Abhishek Saroha , Florian Hofherr , Mariia Gladkova , Cecilia Curreli , Or Litany , Daniel Cremers

Bayesian models based on Gaussian processes (GPs) offer a flexible framework to predict spatially distributed variables with uncertainty. But the use of nonstationary priors, often necessary for capturing complex spatial patterns, makes…

机器学习 · 统计学 2025-06-02 Gabriel V Cardoso , Mike Pereira

Autonomous racing is gaining attention for its potential to advance autonomous vehicle technologies. Accurate race car dynamics modeling is essential for capturing and predicting future states like position, orientation, and velocity.…

机器人学 · 计算机科学 2024-11-22 Jingyun Ning , Madhur Behl

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

Recent advances in learning techniques have enabled the modelling of dynamical systems for scientific and engineering applications directly from data. However, in many contexts explicit data collection is expensive and learning algorithms…

机器学习 · 计算机科学 2022-02-11 Steffen Ridderbusch , Christian Offen , Sina Ober-Blöbaum , Paul Goulart

Gaussian process (GP) regression is a popular surrogate modeling tool for computer simulations in engineering and scientific domains. However, it often struggles with high computational costs and low prediction accuracy when the simulation…

机器学习 · 计算机科学 2025-02-25 Lulu Kang , Minshen Xu

Slice-based volumetric imaging is widely applied and it demands representations that compress aggressively while preserving internal structure for analysis. We introduce GaussianPile, unifying 3D Gaussian splatting with an imaging…

计算机视觉与模式识别 · 计算机科学 2026-03-24 Di Kong , Yikai Wang , Wenjie Guo , Yifan Bu , Boya Zhang , Yuexin Duan , Xiawei Yue , Wenbiao Du , Yiman Zhong , Yuwen Chen , Cheng Ma

3D Gaussian Splatting (GS) enables highly photorealistic scene reconstruction from posed image sequences but struggles with viewpoint extrapolation due to its anisotropic nature, leading to overfitting and poor generalization, particularly…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Shuohan Tao , Boyao Zhou , Hanzhang Tu , Yuwang Wang , Yebin Liu

Representing and rendering dynamic scenes has been an important but challenging task. Especially, to accurately model complex motions, high efficiency is usually hard to guarantee. To achieve real-time dynamic scene rendering while also…

计算机视觉与模式识别 · 计算机科学 2024-07-16 Guanjun Wu , Taoran Yi , Jiemin Fang , Lingxi Xie , Xiaopeng Zhang , Wei Wei , Wenyu Liu , Qi Tian , Xinggang Wang

Accurate kinematic models are essential for effective control of surgical robots. For tendon driven robots, which is common for minimally invasive surgery, intrinsic nonlinearities are important to consider. Traditional analytical methods…

机器人学 · 计算机科学 2020-06-11 Francesco Cursi , Anh Nguyen , Guang-Zhong Yang

Reconstruction of rigid motion over large spatiotemporal scales remains a challenging task due to limitations in modeling paradigms, severe motion blur, and insufficient physical consistency. In this work, we propose PEGS, a framework that…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Yijun Xu , Jingrui Zhang , Hongyi Liu , Yuhan Chen , Yuanyang Wang , Qingyao Guo , Dingwen Wang , Lei Yu , Chu He

This article proposes an efficient numerical method for solving nonlinear partial differential equations (PDEs) based on sparse Gaussian processes (SGPs). Gaussian processes (GPs) have been extensively studied for solving PDEs by…

数值分析 · 数学 2023-08-09 Rui Meng , Xianjin Yang

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

机器学习 · 计算机科学 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

信号处理 · 电气工程与系统科学 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Learning from Demonstration (LfD) is a paradigm that allows robots to learn complex manipulation tasks that can not be easily scripted, but can be demonstrated by a human teacher. One of the challenges of LfD is to enable robots to acquire…

机器人学 · 计算机科学 2021-02-08 Miguel Arduengo , Adrià Colomé , Júlia Borràs , Luis Sentis , Carme Torras

When applying machine learning methods to learn viscoelastic constitutive relations, the polymer history dependence in viscoelastic fluids and the generalization ability of machine learning models are challenging. In this paper, guided by…

流体动力学 · 物理学 2025-06-30 Xuekai Dong , David Nieto Simavilla , Jie Ouyang , Xiaodong Wang , Marco Ellero

Spectral data reduction pipelines deal with a wide variety of challenges including masking cosmic rays, calibrating wavelength solutions, and estimating background noise while trying to remain model-agnostic. Traditional methods rely on…

天体物理仪器与方法 · 物理学 2025-11-24 Douglas P. Finkbeiner , Joshua S. Speagle , Tanveer Karim